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Finding the Fourth Proportional to 2,390.98, 3,586.46 and 931.15

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Solution

The fourth proportional to 2,390.98, 3,586.46 and 931.15 is: 1,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.98 : 3,586.46 = 931.15 : x
  2. Step 2: Convert to fraction form
    2,390.98/3,586.46 = 931.15/x
  3. Step 3: Cross multiply
    2,390.98x = 3,586.46 × 931.15
  4. Step 4: Simplify right side
    2,390.98x = 3,339,532.23
  5. Step 5: Solve for x
    x = 3,339,532.23/2,390.98
  6. Step 6: Final answer
    x = 1,396.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.